Stability of quadrature rules and analytic method for singular integrals특이적분의 수치적 해법에 대한 안정성 해석과 해석적 적분법에 관한 연구
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Choi, U-Jin | - |
| dc.contributor.advisor | 최우진 | - |
| dc.contributor.author | Ahn, So-Young | - |
| dc.contributor.author | 안소영 | - |
| dc.date.accessioned | 2011-12-14T04:39:39Z | - |
| dc.date.available | 2011-12-14T04:39:39Z | - |
| dc.date.issued | 2003 | - |
| dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=231027&flag=dissertation | - |
| dc.identifier.uri | http://hdl.handle.net/10203/41863 | - |
| dc.description | 학위논문(박사) - 한국과학기술원 : 수학전공, 2003.8, [ i, 45 p. ] | - |
| dc.description.abstract | This thesis is developed to analyze the stability of the Chebyshev quadrature rules for one-dimensional Cauchy principal value integrals and finite-part integrals, which were proposed from [20] and [22] respectively, and obtain the optimal stability as the Gauss-type quadrature rule. In addition, we propose the method of the analytical integration for Symm`s integral with logarithmic kernel in two-dimensions and show this is very efficient through the error estimation. | eng |
| dc.language | eng | - |
| dc.publisher | 한국과학기술원 | - |
| dc.subject | 특이적분 | - |
| dc.subject | Singular integrals | - |
| dc.subject | 안정성 | - |
| dc.title | Stability of quadrature rules and analytic method for singular integrals | - |
| dc.title.alternative | 특이적분의 수치적 해법에 대한 안정성 해석과 해석적 적분법에 관한 연구 | - |
| dc.type | Thesis(Ph.D) | - |
| dc.identifier.CNRN | 231027/325007 | - |
| dc.description.department | 한국과학기술원 : 수학전공, | - |
| dc.identifier.uid | 020005827 | - |
| dc.contributor.localauthor | Choi, U-Jin | - |
| dc.contributor.localauthor | 최우진 | - |
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